Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70